Large Normally Hyperbolic Cylinders in a priori Stable Hamiltonian Systems

被引：7
|
作者：
Bernard, Patrick [1 ]
机构：
[1] CNRS, CEREMADE, UMR 7534, F-75775 Paris 16, France
来源：
ANNALES HENRI POINCARE | 2010年 / 11卷 / 05期
关键词：
CONNECTING ORBITS; DIFFUSION; MANIFOLDS; FLOWS;
D O I：
10.1007/s00023-010-0040-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove the existence of normally hyperbolic cylinders in a priori stable Hamiltonian systems the size of which is bounded from below independently of the size of the perturbation. This result should have applications to the study of Arnold's diffusion.
引用
收藏
页码：929 / 942
页数：14
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